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A021614
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Expansion of 1/((1-x)(1-3x)(1-7x)(1-11x)).
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1
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1, 22, 332, 4322, 52353, 609924, 6948544, 78112924, 871004585, 9663416906, 106874239836, 1179653481006, 13004446987897, 143246730136168, 1577098731557408, 17357778969071768, 191003419177941489
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (22,-152,362,-231).
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FORMULA
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a(0)=1, a(1)=22, a(2)=332, a(3)=4322; for n>3, a(n) = 22*a(n-1) -152*a(n-2) +362*a(n-3) -231*a(n-4). - Vincenzo Librandi, Jul 11 2013
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MATHEMATICA
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CoefficientList[Series[1 / ((1 - x) (1 - 3 x) (1 - 7 x) (1 - 11 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *)
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PROG
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(MAGMA) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-3*x)*(1-7*x)*(1-11*x)))); /* or */ I:=[1, 22, 332, 4322]; [n le 4 select I[n] else 22*Self(n-1)-152*Self(n-2)+362*Self(n-3)-231*Self(n-4): n in [1..25]]; // Vincenzo Librandi, Jul 11 2013
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CROSSREFS
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Sequence in context: A021644 A021834 A019671 * A258006 A019854 A025936
Adjacent sequences: A021611 A021612 A021613 * A021615 A021616 A021617
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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